Open AccessOn gω-Open Sets in Grill Topological Spaces
Author(s) -
Amin Saif,
Mohammed Al-Hawmi,
Basheer Al-Refaei
Publication year - 2020
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2020/v35i630296
Subject(s) - open set , closure (psychology) , set (abstract data type) , operator (biology) , closure operator , topological space , generalization , closed set , mathematics , topology (electrical circuits) , property (philosophy) , pure mathematics , discrete mathematics , computer science , combinatorics , mathematical analysis , biochemistry , chemistry , philosophy , epistemology , repressor , economics , transcription factor , market economy , gene , programming language
The propose of this paper is to introduce and investigate a weak form of ω-open set in grill topological spaces. We introduce the notion of -open set as a form stronger than βω-open set and weaker than ω-open set and -open set. By using this form, we study the generalization property, the interior operator, closure operator and θ-cluster operator.